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Finding the Fourth Proportional to 147,703.50, 203,830.83 and 84,078

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Solution

The fourth proportional to 147,703.50, 203,830.83 and 84,078 is: 116,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,703.50 : 203,830.83 = 84,078 : x
  2. Step 2: Convert to fraction form
    147,703.50/203,830.83 = 84,078/x
  3. Step 3: Cross multiply
    147,703.50x = 203,830.83 × 84,078
  4. Step 4: Simplify right side
    147,703.50x = 17,137,688,524.74
  5. Step 5: Solve for x
    x = 17,137,688,524.74/147,703.50
  6. Step 6: Final answer
    x = 116,027.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.